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Finding the Third Proportional to 34,710 and 75,972

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Solution

The third proportional to 34,710 and 75,972 is: 166,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,710 : 75,972 = 75,972 : x
  2. Step 2: Convert to fraction form
    34,710/75,972 = 75,972/x
  3. Step 3: Cross multiply
    34,710x = 75,972 × 75,972
  4. Step 4: Simplify right side
    34,710x = 5,771,744,784
  5. Step 5: Solve for x
    x = 5,771,744,784/34,710
  6. Step 6: Final answer
    x = 166,284.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.